求大佬解释一下此题,需要详细的步骤,谢谢!

2025-05-15 03:10:18
推荐回答(1个)
回答1:

x^n-1因式分解!
=(x-1)(x^(n-1)+x^(n-2)+...+x+1)
则原极限
lim (x^(n-1)+x^(n-2)+...+x+1)
=1+1+...+1
=n